一类具间断系数退化椭圆型方程的L~(p,λ)正则性
일류구간단계수퇴화타원형방정적L~(p,λ)정칙성
L~(p,λ)-REGULARITY FOR A CLASS OF DEGENERATE ELLIPTIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS
  • 万方数据
    系统科学与数学 계통과학여수학
    JOURNAL OF SYSTEMS SCIENCE AND MATHEMATICAL SCIENCES
    2010年 2期 157-172 ,共16页

    王春华%张学良%舒连清%郑神州

    왕춘화%장학량%서련청%정신주

    VMO函数%L~(p,λ)正则性%退化椭圆型方程 VMO函數%L~(p,λ)正則性%退化橢圓型方程
    VMO함수%L~(p,λ)정칙성%퇴화타원형방정
    VMO functions%L~(p,λ)-regularity%degenerate elliptic equations
    得到一类退化椭圆型方程弱解梯度在其拟线性系数矩阵A(·,u)对任意U关于x一致满足VMO条件下在Morrey空间L~(p,λ)的内部正则性.
    득도일류퇴화타원형방정약해제도재기의선성계수구진A(·,u)대임의U관우x일치만족VMO조건하재Morrey공간L~(p,λ)적내부정칙성.
    A class of quasi-linear degenerate elliptic equations, which coefficient matrix satisfies VMO conditions uniformly with respect to x for any given u, is considered. It is shown that the gradient of its weak solution is L~(p,λ)-regular.
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